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Complete Blow-up for a semi-linear parabolic problem with a localized nonlinear term

Panumart Sawangtong 1
1 M3 - Modélisation Mathématique en Mécanique
LMGC - Laboratoire de Mécanique et Génie Civil : UMR 5508
Abstract : We study existence of blow-up and blow-up sets for a (degenerate or not) Heat-like equation with a uniform source term nonlinear function of the instantaneous temperature at a given point of the domain. The techniques are relevant from either classical analysis (Green function, eigenfunction expansion, maximum principle) or function analysis (semi-group of linear operators).
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Panumart Sawangtong. Complete Blow-up for a semi-linear parabolic problem with a localized nonlinear term. Mechanics of the solides [physics.class-ph]. Université Montpellier II - Sciences et Techniques du Languedoc, 2010. English. ⟨tel-00833171⟩

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